A group of x people signed up for an aerobics course and shared the total cost of $2070.
One week before the start of the course, 6 people withdrew but 3 new members signed up for the course. The total cost now increased by $30
If the cost per person was 37 dollars more than what was orignally expected, form an equation in x and show that it reduces to 37x^2 -141x -6210 = 0
Tried forming a number of equations but to no avail.
Originally posted by bonkysleuth:A group of x people signed up for an aerobics course and shared the total cost of $2070.
One week before the start of the course, 6 people withdrew but 3 new members signed up for the course. The total cost now increased by $30
If the cost per person was 37 dollars more than what was orignally expected, form an equation in x and show that it reduces to 37x^2 -141x -6210 = 0
Tried forming a number of equations but to no avail.
(x-3)((2070/x) + 37) = 2100
(x-3) = current number of members
((2070/x) + 37) = current cost per member
2100 = current total cost
Originally posted by Forbiddensinner:(x-3)((2070/x) + 37) = 2100
(x-3) = current number of members
((2070/x) + 37) = current cost per member
2100 = current total cost
I did that just now and I got 37x^2 - 81x + 6210, think I know why now, instead of
y = (2070 / x) + 37
I wrote
y = (2070 / x) - 37
That's why I got 37x^2 - 81x + 6210
Originally posted by deepak.c:
I did that just now and I got 37x^2 - 81x + 6210, think I know why now, instead of
y = (2070 / x) + 37
I wrote
y = (2070 / x) - 37
That's why I got 37x^2 - 81x + 6210
No worries, everyone make mistakes now and then.
What is important is that you tried your best to help out.